Question Video: Subtracting Two-Digit Numbers Using Number Lines by Making Jumps of Tens and Ones | Nagwa Question Video: Subtracting Two-Digit Numbers Using Number Lines by Making Jumps of Tens and Ones | Nagwa

Question Video: Subtracting Two-Digit Numbers Using Number Lines by Making Jumps of Tens and Ones Mathematics • 2nd Grade

Which subtraction sentence matches the calculation on this number line? [A] 80 − 35 = 27 [B] 80 − 53 = 27 [C] 80 − 63 = 27

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Video Transcript

Which subtraction sentence matches the calculation on this number line? 80 take away 35 equals 27, 80 take away 53 equals 27, or 80 take away 63 equals 27.

If we’re ever asked to subtract two numbers, we can often find the answer by counting backwards. In this question, we’re shown a number line and it’s got some jumps marked on it, some in orange and some in red. Can you see all the minus signs? This tells us that we’re taking away 10s or ones each time. In other words, we’re counting backwards. To help us remember this, let’s draw little arrow heads on the end of each jump. This will show us the direction that we’re going. So, which number do you think we started with?

If we’re counting backwards along our number line in this direction, we must have started with the number 80. So, we know the first number in our calculation must be 80. And we know that it’s a subtraction sentence because we’re told so in the question. And also we can see that we’re counting backwards. Now, where do we end up? What’s the answer to our subtraction sentence? The answer is the number we finished on, and we can see this is 27. The subtraction sentence we’re looking for is going to be 80 take away something which equals 27. But if we look at our three possible answers, this doesn’t help us. They all begin with 80. They’re all subtractions, and they all have an answer of 27.

To find the correct answer, we need to think about the amount that’s being subtracted on the number line. There are one, two, three, four, five jumps of 10. So, we’ve counted back five 10s and then one, two, three ones. We know that five 10s are worth 50 and three ones are worth three. If we’ve subtracted 50 and then three, have we taken away 35, 53, or 63? The answer is 53, isn’t it? The number line shows that we started with the number 80 and then we subtracted five 10s and three ones, or 53. And we can see that the number we ended on was 27. The correct subtraction sentence is 80 take away 53 equals 27.

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